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39122226 = 232111315199
BaseRepresentation
bin1001010100111…
…1010100110010
32201121121121100
42111033110302
540003402401
63514305230
7653350653
oct225172462
981547540
1039122226
11200a1120
1211128216
13814a160
1452a552a
15367bb86
hex254f532

39122226 has 48 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 10942560.

The previous prime is 39122221. The next prime is 39122227. The reversal of 39122226 is 62222193.

39122226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 39122226.

It is not an unprimeable number, because it can be changed into a prime (39122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5026 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 239122226 is an apocalyptic number.

39122226 is an abundant number, since it is smaller than the sum of its proper divisors (60468174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39122226 is a wasteful number, since it uses less digits than its factorization.

39122226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231 (or 15228 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 39122226 is about 6254.7762549911. The cubic root of 39122226 is about 339.4750434073.

It can be divided in two parts, 39 and 122226, that added together give a triangular number (122265 = T494).

The spelling of 39122226 in words is "thirty-nine million, one hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 15199 30398 45597 91194 136791 167189 197587 273582 334378 395174 501567 592761 1003134 1185522 1504701 1778283 2173457 3009402 3556566 4346914 6520371 13040742 19561113 39122226